Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology
A key symmetry of classical p-branes is invariance under worldvolume diffeomorphisms. Under the assumption that the worldvolume, at fixed values of the time, is a compact, quantisable Kähler manifold, we prove that the Lie algebra of volume-preserving diffeomorphisms of the worldvolume can be approx...
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2008
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/149044 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology / J.M. Isidro, P. Fernández de Córdoba // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ. |
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irk-123456789-1490442019-02-20T01:29:05Z Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology Isidro, J.M. Fernández de Córdoba, P. A key symmetry of classical p-branes is invariance under worldvolume diffeomorphisms. Under the assumption that the worldvolume, at fixed values of the time, is a compact, quantisable Kähler manifold, we prove that the Lie algebra of volume-preserving diffeomorphisms of the worldvolume can be approximated by su(n), for n → ∞. We also prove, under the same assumptions regarding the worldvolume at fixed time, that classical Nambu brackets on the worldvolume are quantised by the multibrackets corresponding to cocycles in the cohomology of the Lie algebra su(n). 2008 Article Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology / J.M. Isidro, P. Fernández de Córdoba // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81T30; 17B56 http://dspace.nbuv.gov.ua/handle/123456789/149044 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A key symmetry of classical p-branes is invariance under worldvolume diffeomorphisms. Under the assumption that the worldvolume, at fixed values of the time, is a compact, quantisable Kähler manifold, we prove that the Lie algebra of volume-preserving diffeomorphisms of the worldvolume can be approximated by su(n), for n → ∞. We also prove, under the same assumptions regarding the worldvolume at fixed time, that classical Nambu brackets on the worldvolume are quantised by the multibrackets corresponding to cocycles in the cohomology of the Lie algebra su(n). |
| format |
Article |
| author |
Isidro, J.M. Fernández de Córdoba, P. |
| spellingShingle |
Isidro, J.M. Fernández de Córdoba, P. Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Isidro, J.M. Fernández de Córdoba, P. |
| author_sort |
Isidro, J.M. |
| title |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology |
| title_short |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology |
| title_full |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology |
| title_fullStr |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology |
| title_full_unstemmed |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology |
| title_sort |
quantum dynamics on the worldvolume from classical su(n) cohomology |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149044 |
| citation_txt |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology / J.M. Isidro, P. Fernández de Córdoba // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT isidrojm quantumdynamicsontheworldvolumefromclassicalsuncohomology AT fernandezdecordobap quantumdynamicsontheworldvolumefromclassicalsuncohomology |
| first_indexed |
2025-07-12T20:58:55Z |
| last_indexed |
2025-07-12T20:58:55Z |
| _version_ |
1837476280612683776 |